Confinement in the 3-dimensional Gross-Neveu model at finite temperature

F. C. Khannaa, A. P. C. Malbouissonb, J. M. C. Malbouissonc, A. E. Santanac
2007 Brazilian journal of physics  
We study the N-component (2+1)-dimensional Gross-Neveu model bounded between two parallel planes separated by a distance L at finite temperature (T ). We obtain a closed expression for the large-N effective coupling constant g = g(L, T, λ). Different behavior depending on the magnitude of the fixed coupling constant λ is found to lead to a "critical" value λ c . If λ < λ c , only short-distance and/or high-temperature asymptotic freedom is found. For λ ≥ λ c one also observes spatial
more » ... spatial confinement, which is destroyed by temperature effects. We find a confining length, L c 1.61 f m, that is close to the proton charge diameter (≈ 1.74 f m) and a deconfining temperature, 138 MeV , which is comparable to the estimated value of ≈ 200 MeV for hadrons.
doi:10.1590/s0103-97332007000200019 fatcat:t3mjjrqpwjbaxkskqf2gg2ecni